Oleg Nikolaevich Karpenkov

Farey bryophylla

The construction of the Farey tessellation in the hyperbolic plane starts with a finitely generated group of symmetries of an ideal triangle, that is, a triangle with all vertices on the boundary. It induces a remarkable fractal structure on the boundary of the hyperbolic plane,...

Stressability of semi-discrete frameworks

Abstract In this paper we study the stressability of semi-discrete frameworks in the plane which are generated by a discrete sequence of smooth curves. We characterize their stressability property by the existence of stresses fulfilling certain difference-differential equation. I...